Of the cars in a used-car lot, 25 are the color gray. 13 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered? Leave your answer in simplified fraction form.
The fraction of the cars that are both gray and electrically powered is \[\frac{13}{25}=\boxed{\frac{13}{25}}.\]
To find the fraction of cars on the lot that are both gray and electrically powered, we need to divide the number of gray and electrically powered cars by the total number of cars on the lot.
There are 25 gray cars, and out of these, 13 are electrically powered vehicles.
Fraction of cars that are both gray and electrically powered = (number of gray and electrically powered cars) / (total number of cars on the lot)
= 13 / 25
So, the fraction of cars on the lot that are both gray and electrically powered is 13/25.